unimportant
Third party cookies are only possible when you load the third party content that's included on the website you visit. When you visit example.org, their page includes something from evilcorp.com. It might be a banner ad, a single pixel, or a script, such as from gargle-analytics. That's the only way third party cookies can get onto your computer.
However, the cookie is not everything for these third parties. They already know, because you loaded the banner ad, your IP address, the date and time, the site you visited, and any extra information that that site chose to give up.
Suppose you watch Priest porn and your preferred porn purveyor includes a browser fingerprinting script from evilcorp, the URL could be evilcorp.com/track.js?cat=priest. Now evilcorp knows that, too. All without needing a single cookie.
So when publishers cry, boohoo, they're crocodile tears. The advertisers will still pay to have their content included by the sites they wish to advertise on, and for evil corporations starting with the letters G, and F, they want their content on every website. Without them getting their content everywhere, their tracking cookies have no value.
So they don't need cookies. The cookies just take ambiguity off the table. It lets them differentiate between mommy's browsing and little Petunia's.
The only way to avoid being tracked is to not load that third party content in the first place. Browse add-ons like NoScript help here. That's what really worries the big G's and F's. That's why Google invented manifest v3: to destroy NoScript and equivalent.
Hey: I'd like you to run this program for me. I'm not going to tell you what it does, and I'm not even going to ask for your permission, I'm just going to send it to you so that you can run it on your phone. That's exactly what almost everybody permits when they run third party scripts. Stupid everybody. That's what NoScript prevents.
Run NoScript unless you're happy running my unknown program without even being asked. Which means ditching Chrome and anything else that's switched to manifest v3. Firefox is the one you should be using.